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Finding the Fourth Proportional to 1,581.29, 2,182.29 and 882.67

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Solution

The fourth proportional to 1,581.29, 2,182.29 and 882.67 is: 1,218.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.29 : 2,182.29 = 882.67 : x
  2. Step 2: Convert to fraction form
    1,581.29/2,182.29 = 882.67/x
  3. Step 3: Cross multiply
    1,581.29x = 2,182.29 × 882.67
  4. Step 4: Simplify right side
    1,581.29x = 1,926,241.91
  5. Step 5: Solve for x
    x = 1,926,241.91/1,581.29
  6. Step 6: Final answer
    x = 1,218.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.